Problem

3) \( 5 x^{2}+x+2=0 \)

Answer

Expert–verified
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Answer

\(x_{2} = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-1 - \sqrt{-39}}{10}\)

Steps

Step 1 ：\(a = 5\)

Step 2 ：\(b = 1\)

Step 3 ：\(c = 2\)

Step 4 ：\(\Delta = b^{2} - 4ac = 1 - 4(5)(2) = 1 - 40 = -39\)

Step 5 ：\(x_{1} = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-1 + \sqrt{-39}}{10}\)

Step 6 ：\(x_{2} = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-1 - \sqrt{-39}}{10}\)

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